This course develops foundational mathematics through whole-number arithmetic, integers, fractions, decimals, ratios, percentages, equations, and introductory polynomial operations. It also introduces averages, square roots, the Pythagorean theorem, and simple and compound interest problems.

Syllabus

Prealgebra Lecture 1.2: Studying Place Value and Expanded Form of Numbers.
Prealgebra Lecture 1.3: Addition and Subtraction of whole numbers. Perimeter..
Prealgebra Lecture 1.4: How to do Rounding and Estimating of Whole Numbers.
Prealgebra Lecture 1.5: Multiplication of Whole Numbers. Area of a Rectangle.
Prealgebra Lecture 1.6: Division of Whole Numbers.
Prealgebra Lecture 1.7: Studying Exponents and Order of Operations.
Prealgebra Lecture 1.8: An Introduction to Variables and Algebraic Expressions.
Prealgebra Lecture 2.1: Introduction to Integers.
Prealgebra Lecture 2.2: Adding of Integers. Using the Addition Rule for Integers.
Prealgebra Lecture 2.3: Subtracting Integers. How to Change Subtraction to Addition.
Prealgebra Lecture 2.4: Multiplying and Dividing Integers.
Prealgebra Lecture 2.5: Studying Order of Operations with Integers.
Prealgebra Lecture 2.6: An Introduction to Solving Basic Equations.
Prealgebra Lecture 3.1: Simplifying Algebraic Expressions.
Prealgebra Lecture 3.2: Solving Basic Equations.
Prealgebra Lecture 3.3: Solving General Equations. How to Solve Any Equation in Prealgebra.
Prealgebra Lecture 3.4: Translating Sentences Into Equations. Intro to Word Problems.
Prealgebra Lecture 4.1: Introduction to Fractions.
Prealgebra Lecture 4.2: Prime Factorization and Simplification of Fractions.
Prealgebra Lecture 4.3: How to Multiply and Divide Fractions.
Prealgebra Lecture 4.4: How to Add and Subtract Fractions. Finding LCD..
Prealgebra Lecture 4.5: Add/Subract Fractions When the Fractions do Not Have a Common Denominator..
Prealgebra Lecture 4.6: Simplifying Complex Fractions and Order of Operations with Fractions..
Prealgebra Lecture 4.7: Operations With Mixed Number Fractions.
Prealgebra Lecture 4.8: Solving Equations With Fractions.
Prealgebra Lecture 5.1: Introductions to Decimal Numbers.
Prealgebra Lecture 5.2: Adding and Subtracting Decimals Using the Addition Rule.
Prealgebra Lecture 5.3: Multiplying Decimal Numbers.
Prealgebra Lecture 5.4: Dividing Decimal Numbers.
Prealgebra Lecture 5.5: Translating Fractions to Decimals and Order of Operations with Decimals.
Prealgebra Lecture 5.6: Solving Equations with Decimals.
Prealgebra Lecture 5.7: Finding Averages: The Mean, Median, and Mode.
Prealgebra Lecture 6.1: Writing and Simplifying Ratios and Rates..
Prealgebra Lecture 6.2: Solving Equations with Proportions..
Prealgebra Lecture 6.3: Applications of Solving Equations with Proportions..
Prealgebra Lecture 6.4: Simplifying Square Roots and Solving Problems with the Pythagorean Theorem..
Prealgebra Lecture 7.1: Introduction to Percent and Percentages.
Prealgebra Lecture 7.3: Using the Basic Percent Equation. How to Solve Percent Equations.
Prealgebra Lecture 7.4: Finding Percent Increase and Percent Decrease.
Prealgebra Lecture 7.5: Solving Problems with Sales Tax, Commission, and Discount..
Prealgebra Lecture 7.6: Solving Simple Interest and Compound Interest Problems..
Prealgebra Lecture 10.1: Adding and Subtracting Polynomials..
Prealgebra Lecture 10.2: Properties of Exponents in Polynomials. Multiplying Polynomials.
Prealgebra Lecture 10.3: Multiplying Polynomials by the Distributive Property..